Finding the Third Proportional to 381,142 and 804,568

Step by Step Solution

1. Step 1: Write the proportion equation
   381,142 : 804,568 = 804,568 : x
2. Step 2: Convert to fraction form
   381,142/804,568 = 804,568/x
3. Step 3: Cross multiply
   381,142x = 804,568 × 804,568
4. Step 4: Simplify right side
   381,142x = 647,329,666,624
5. Step 5: Solve for x
   x = 647,329,666,624/381,142
6. Step 6: Final answer
   x = 1,698,395.00